Science (English Medium) कक्षा ११ - CBSE Question Bank Solutions

Solve the following system of inequalities graphically: x – 2y ≤ 3, 3x + 4y ≥ 12, x ≥ 0, y ≥ 1

Solve the following system of inequalities graphically: 4x + 3y ≤ 60, y ≥ 2x, x ≥ 3, x, y ≥ 0

Find the 20^th and n^thterms of the G.P. `5/2, 5/4 , 5/8,...`

The 4^th term of a G.P. is square of its second term, and the first term is –3. Determine its 7^thterm.

Which term of the following sequence: 

`2, 2sqrt2, 4,.... is 128`

Which term of the following sequence:

`sqrt3, 3, 3sqrt3`, .... is 729?

Which term of the following sequence:

`1/3, 1/9, 1/27`, ...., is `1/19683`?

For what values of x, the numbers  `-2/7, x, -7/2` are in G.P?

Find the sum to indicated number of terms of the geometric progressions `sqrt7, sqrt21,3sqrt7`...n terms.

Find the sum to indicated number of terms in the geometric progressions 1, – a, a², – a³, ... n terms (if a ≠ – 1).

Find the sum to indicated number of terms in the geometric progressions x³, x⁵, x⁷, ... n terms (if x ≠ ± 1).

Evaluate `sum_(k=1)^11 (2+3^k )`

The sum of first three terms of a G.P. is  `39/10` and their product is 1. Find the common ratio and the terms.